TSTP Solution File: ALG138+1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : ALG138+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:32:47 EDT 2024
% Result : Unsatisfiable 0.16s 0.34s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 244 ( 95 unt; 0 def)
% Number of atoms : 729 ( 728 equ)
% Maximal formula atoms : 128 ( 2 avg)
% Number of connectives : 785 ( 300 ~; 360 |; 125 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f244,plain,
$false,
inference(global_subsumption,[],[f111,f110,f108,f105,f103,f101,f98,f97,f94,f90,f89,f88,f87,f86,f84,f81,f79,f77,f74,f73,f70,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122,f189,f121,f120,f119,f118,f117,f116,f115,f114,f113,f190,f112,f191,f159,f192,f158,f157,f156,f155,f154,f193,f153,f152,f151,f150,f149,f194,f148,f147,f146,f145,f144,f195,f160,f161,f197,f162,f198,f163,f199,f164,f200,f165,f201,f166,f202,f167,f203,f168,f204,f169,f205,f170,f206,f171,f207,f172,f208,f173,f209,f174,f210,f175,f211,f176,f212,f177,f213,f178,f214,f179,f215,f180,f216,f181,f217,f182,f218,f183,f219,f54,f55,f56,f57,f58,f59,f60,f61,f62,f63,f220,f221,f222,f67,f68,f69,f223,f71,f72,f224,f225,f75,f76,f226,f78,f227,f80,f228,f82,f83,f229,f85,f230,f231,f232,f233,f234,f91,f92,f93,f235,f95,f96,f236,f237,f99,f100,f238,f102,f239,f104,f240,f106,f107,f241,f109,f242,f243,f196]) ).
fof(f196,plain,
( e1 != op(e0,e3)
| e0 != op(e2,e3) ),
inference(inner_rewriting,[],[f160]) ).
fof(f243,plain,
e3 != op(e3,e2),
inference(forward_demodulation,[],[f111,f63]) ).
fof(f242,plain,
e3 != op(e3,e1),
inference(forward_demodulation,[],[f110,f63]) ).
fof(f109,plain,
op(e3,e1) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
( op(e3,e2) != op(e3,e3)
& op(e3,e1) != op(e3,e3)
& op(e3,e1) != op(e3,e2)
& op(e3,e0) != op(e3,e3)
& op(e3,e0) != op(e3,e2)
& op(e3,e0) != op(e3,e1)
& op(e2,e2) != op(e2,e3)
& op(e2,e1) != op(e2,e3)
& op(e2,e1) != op(e2,e2)
& op(e2,e0) != op(e2,e3)
& op(e2,e0) != op(e2,e2)
& op(e2,e0) != op(e2,e1)
& op(e1,e2) != op(e1,e3)
& op(e1,e1) != op(e1,e3)
& op(e1,e1) != op(e1,e2)
& op(e1,e0) != op(e1,e3)
& op(e1,e0) != op(e1,e2)
& op(e1,e0) != op(e1,e1)
& op(e0,e2) != op(e0,e3)
& op(e0,e1) != op(e0,e3)
& op(e0,e1) != op(e0,e2)
& op(e0,e0) != op(e0,e3)
& op(e0,e0) != op(e0,e2)
& op(e0,e0) != op(e0,e1)
& op(e2,e3) != op(e3,e3)
& op(e1,e3) != op(e3,e3)
& op(e1,e3) != op(e2,e3)
& op(e0,e3) != op(e3,e3)
& op(e0,e3) != op(e2,e3)
& op(e0,e3) != op(e1,e3)
& op(e2,e2) != op(e3,e2)
& op(e1,e2) != op(e3,e2)
& op(e1,e2) != op(e2,e2)
& op(e0,e2) != op(e3,e2)
& op(e0,e2) != op(e2,e2)
& op(e0,e2) != op(e1,e2)
& op(e2,e1) != op(e3,e1)
& op(e1,e1) != op(e3,e1)
& op(e1,e1) != op(e2,e1)
& op(e0,e1) != op(e3,e1)
& op(e0,e1) != op(e2,e1)
& op(e0,e1) != op(e1,e1)
& op(e2,e0) != op(e3,e0)
& op(e1,e0) != op(e3,e0)
& op(e1,e0) != op(e2,e0)
& op(e0,e0) != op(e3,e0)
& op(e0,e0) != op(e2,e0)
& op(e0,e0) != op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f241,plain,
e3 != op(e3,e0),
inference(forward_demodulation,[],[f108,f63]) ).
fof(f107,plain,
op(e3,e0) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f106,plain,
op(e3,e0) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f240,plain,
e2 != op(e2,e3),
inference(forward_demodulation,[],[f105,f62]) ).
fof(f104,plain,
op(e2,e1) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f239,plain,
e2 != op(e2,e1),
inference(forward_demodulation,[],[f103,f62]) ).
fof(f102,plain,
op(e2,e0) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f238,plain,
e2 != op(e2,e0),
inference(forward_demodulation,[],[f101,f62]) ).
fof(f100,plain,
op(e2,e0) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f99,plain,
op(e1,e2) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f237,plain,
e1 != op(e1,e3),
inference(forward_demodulation,[],[f98,f61]) ).
fof(f236,plain,
e1 != op(e1,e2),
inference(forward_demodulation,[],[f97,f61]) ).
fof(f96,plain,
op(e1,e0) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f95,plain,
op(e1,e0) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f235,plain,
e1 != op(e1,e0),
inference(forward_demodulation,[],[f94,f61]) ).
fof(f93,plain,
op(e0,e2) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f92,plain,
op(e0,e1) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f91,plain,
op(e0,e1) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f234,plain,
e0 != op(e0,e3),
inference(forward_demodulation,[],[f90,f60]) ).
fof(f233,plain,
e0 != op(e0,e2),
inference(forward_demodulation,[],[f89,f60]) ).
fof(f232,plain,
e0 != op(e0,e1),
inference(forward_demodulation,[],[f88,f60]) ).
fof(f231,plain,
e3 != op(e2,e3),
inference(forward_demodulation,[],[f87,f63]) ).
fof(f230,plain,
e3 != op(e1,e3),
inference(forward_demodulation,[],[f86,f63]) ).
fof(f85,plain,
op(e1,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f229,plain,
e3 != op(e0,e3),
inference(forward_demodulation,[],[f84,f63]) ).
fof(f83,plain,
op(e0,e3) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f82,plain,
op(e0,e3) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f228,plain,
e2 != op(e3,e2),
inference(forward_demodulation,[],[f81,f62]) ).
fof(f80,plain,
op(e1,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f227,plain,
e2 != op(e1,e2),
inference(forward_demodulation,[],[f79,f62]) ).
fof(f78,plain,
op(e0,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f226,plain,
e2 != op(e0,e2),
inference(forward_demodulation,[],[f77,f62]) ).
fof(f76,plain,
op(e0,e2) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
op(e2,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f225,plain,
e1 != op(e3,e1),
inference(forward_demodulation,[],[f74,f61]) ).
fof(f224,plain,
e1 != op(e2,e1),
inference(forward_demodulation,[],[f73,f61]) ).
fof(f72,plain,
op(e0,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
op(e0,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f223,plain,
e1 != op(e0,e1),
inference(forward_demodulation,[],[f70,f61]) ).
fof(f69,plain,
op(e2,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f68,plain,
op(e1,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f67,plain,
op(e1,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f222,plain,
e0 != op(e3,e0),
inference(forward_demodulation,[],[f66,f60]) ).
fof(f221,plain,
e0 != op(e2,e0),
inference(forward_demodulation,[],[f65,f60]) ).
fof(f220,plain,
e0 != op(e1,e0),
inference(forward_demodulation,[],[f64,f60]) ).
fof(f63,plain,
e3 = op(e3,e3),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
( e3 = op(e3,e3)
& e2 = op(e2,e2)
& e1 = op(e1,e1)
& e0 = op(e0,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f62,plain,
e2 = op(e2,e2),
inference(cnf_transformation,[],[f5]) ).
fof(f61,plain,
e1 = op(e1,e1),
inference(cnf_transformation,[],[f5]) ).
fof(f60,plain,
e0 = op(e0,e0),
inference(cnf_transformation,[],[f5]) ).
fof(f59,plain,
e2 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
( e2 != e3
& e1 != e3
& e1 != e2
& e0 != e3
& e0 != e2
& e0 != e1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f58,plain,
e1 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f57,plain,
e1 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f56,plain,
e0 != e3,
inference(cnf_transformation,[],[f4]) ).
fof(f55,plain,
e0 != e2,
inference(cnf_transformation,[],[f4]) ).
fof(f54,plain,
e0 != e1,
inference(cnf_transformation,[],[f4]) ).
fof(f219,plain,
( e2 != op(e3,e0)
| e3 != op(e1,e0) ),
inference(inner_rewriting,[],[f183]) ).
fof(f183,plain,
( e2 != op(op(e1,e0),e0)
| e3 != op(e1,e0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
( e2 != op(op(e1,e0),e0)
| e3 != op(e1,e0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
~ ( e2 = op(op(e1,e0),e0)
& e3 = op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f218,plain,
( e2 != op(e3,e1)
| e3 != op(e0,e1) ),
inference(inner_rewriting,[],[f182]) ).
fof(f182,plain,
( e2 != op(op(e0,e1),e1)
| e3 != op(e0,e1) ),
inference(cnf_transformation,[],[f52]) ).
fof(f52,plain,
( e2 != op(op(e0,e1),e1)
| e3 != op(e0,e1) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
~ ( e2 = op(op(e0,e1),e1)
& e3 = op(e0,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f217,plain,
( e1 != op(e3,e0)
| e3 != op(e2,e0) ),
inference(inner_rewriting,[],[f181]) ).
fof(f181,plain,
( e1 != op(op(e2,e0),e0)
| e3 != op(e2,e0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f51,plain,
( e1 != op(op(e2,e0),e0)
| e3 != op(e2,e0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
~ ( e1 = op(op(e2,e0),e0)
& e3 = op(e2,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f216,plain,
( e1 != op(e3,e2)
| e3 != op(e0,e2) ),
inference(inner_rewriting,[],[f180]) ).
fof(f180,plain,
( e1 != op(op(e0,e2),e2)
| e3 != op(e0,e2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
( e1 != op(op(e0,e2),e2)
| e3 != op(e0,e2) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
~ ( e1 = op(op(e0,e2),e2)
& e3 = op(e0,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f215,plain,
( e0 != op(e3,e1)
| e3 != op(e2,e1) ),
inference(inner_rewriting,[],[f179]) ).
fof(f179,plain,
( e0 != op(op(e2,e1),e1)
| e3 != op(e2,e1) ),
inference(cnf_transformation,[],[f49]) ).
fof(f49,plain,
( e0 != op(op(e2,e1),e1)
| e3 != op(e2,e1) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
~ ( e0 = op(op(e2,e1),e1)
& e3 = op(e2,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f214,plain,
( e0 != op(e3,e2)
| e3 != op(e1,e2) ),
inference(inner_rewriting,[],[f178]) ).
fof(f178,plain,
( e0 != op(op(e1,e2),e2)
| e3 != op(e1,e2) ),
inference(cnf_transformation,[],[f48]) ).
fof(f48,plain,
( e0 != op(op(e1,e2),e2)
| e3 != op(e1,e2) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
~ ( e0 = op(op(e1,e2),e2)
& e3 = op(e1,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f213,plain,
( e3 != op(e2,e0)
| e2 != op(e1,e0) ),
inference(inner_rewriting,[],[f177]) ).
fof(f177,plain,
( e3 != op(op(e1,e0),e0)
| e2 != op(e1,e0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,plain,
( e3 != op(op(e1,e0),e0)
| e2 != op(e1,e0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
~ ( e3 = op(op(e1,e0),e0)
& e2 = op(e1,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f212,plain,
( e3 != op(e2,e1)
| e2 != op(e0,e1) ),
inference(inner_rewriting,[],[f176]) ).
fof(f176,plain,
( e3 != op(op(e0,e1),e1)
| e2 != op(e0,e1) ),
inference(cnf_transformation,[],[f46]) ).
fof(f46,plain,
( e3 != op(op(e0,e1),e1)
| e2 != op(e0,e1) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
~ ( e3 = op(op(e0,e1),e1)
& e2 = op(e0,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f211,plain,
( e1 != op(e2,e0)
| e2 != op(e3,e0) ),
inference(inner_rewriting,[],[f175]) ).
fof(f175,plain,
( e1 != op(op(e3,e0),e0)
| e2 != op(e3,e0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
( e1 != op(op(e3,e0),e0)
| e2 != op(e3,e0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
~ ( e1 = op(op(e3,e0),e0)
& e2 = op(e3,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f210,plain,
( e1 != op(e2,e3)
| e2 != op(e0,e3) ),
inference(inner_rewriting,[],[f174]) ).
fof(f174,plain,
( e1 != op(op(e0,e3),e3)
| e2 != op(e0,e3) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
( e1 != op(op(e0,e3),e3)
| e2 != op(e0,e3) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
~ ( e1 = op(op(e0,e3),e3)
& e2 = op(e0,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f209,plain,
( e0 != op(e2,e1)
| e2 != op(e3,e1) ),
inference(inner_rewriting,[],[f173]) ).
fof(f173,plain,
( e0 != op(op(e3,e1),e1)
| e2 != op(e3,e1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f43,plain,
( e0 != op(op(e3,e1),e1)
| e2 != op(e3,e1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
~ ( e0 = op(op(e3,e1),e1)
& e2 = op(e3,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f208,plain,
( e0 != op(e2,e3)
| e2 != op(e1,e3) ),
inference(inner_rewriting,[],[f172]) ).
fof(f172,plain,
( e0 != op(op(e1,e3),e3)
| e2 != op(e1,e3) ),
inference(cnf_transformation,[],[f42]) ).
fof(f42,plain,
( e0 != op(op(e1,e3),e3)
| e2 != op(e1,e3) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
~ ( e0 = op(op(e1,e3),e3)
& e2 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f207,plain,
( e3 != op(e1,e0)
| e1 != op(e2,e0) ),
inference(inner_rewriting,[],[f171]) ).
fof(f171,plain,
( e3 != op(op(e2,e0),e0)
| e1 != op(e2,e0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f41,plain,
( e3 != op(op(e2,e0),e0)
| e1 != op(e2,e0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f17,axiom,
~ ( e3 = op(op(e2,e0),e0)
& e1 = op(e2,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f206,plain,
( e3 != op(e1,e2)
| e1 != op(e0,e2) ),
inference(inner_rewriting,[],[f170]) ).
fof(f170,plain,
( e3 != op(op(e0,e2),e2)
| e1 != op(e0,e2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f40,plain,
( e3 != op(op(e0,e2),e2)
| e1 != op(e0,e2) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
~ ( e3 = op(op(e0,e2),e2)
& e1 = op(e0,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f205,plain,
( e2 != op(e1,e0)
| e1 != op(e3,e0) ),
inference(inner_rewriting,[],[f169]) ).
fof(f169,plain,
( e2 != op(op(e3,e0),e0)
| e1 != op(e3,e0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,plain,
( e2 != op(op(e3,e0),e0)
| e1 != op(e3,e0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
~ ( e2 = op(op(e3,e0),e0)
& e1 = op(e3,e0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f204,plain,
( e2 != op(e1,e3)
| e1 != op(e0,e3) ),
inference(inner_rewriting,[],[f168]) ).
fof(f168,plain,
( e2 != op(op(e0,e3),e3)
| e1 != op(e0,e3) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
( e2 != op(op(e0,e3),e3)
| e1 != op(e0,e3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
~ ( e2 = op(op(e0,e3),e3)
& e1 = op(e0,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f203,plain,
( e0 != op(e1,e2)
| e1 != op(e3,e2) ),
inference(inner_rewriting,[],[f167]) ).
fof(f167,plain,
( e0 != op(op(e3,e2),e2)
| e1 != op(e3,e2) ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( e0 != op(op(e3,e2),e2)
| e1 != op(e3,e2) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
~ ( e0 = op(op(e3,e2),e2)
& e1 = op(e3,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f202,plain,
( e0 != op(e1,e3)
| e1 != op(e2,e3) ),
inference(inner_rewriting,[],[f166]) ).
fof(f166,plain,
( e0 != op(op(e2,e3),e3)
| e1 != op(e2,e3) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
( e0 != op(op(e2,e3),e3)
| e1 != op(e2,e3) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
~ ( e0 = op(op(e2,e3),e3)
& e1 = op(e2,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f201,plain,
( e3 != op(e0,e1)
| e0 != op(e2,e1) ),
inference(inner_rewriting,[],[f165]) ).
fof(f165,plain,
( e3 != op(op(e2,e1),e1)
| e0 != op(e2,e1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
( e3 != op(op(e2,e1),e1)
| e0 != op(e2,e1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
~ ( e3 = op(op(e2,e1),e1)
& e0 = op(e2,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f200,plain,
( e3 != op(e0,e2)
| e0 != op(e1,e2) ),
inference(inner_rewriting,[],[f164]) ).
fof(f164,plain,
( e3 != op(op(e1,e2),e2)
| e0 != op(e1,e2) ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,plain,
( e3 != op(op(e1,e2),e2)
| e0 != op(e1,e2) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
~ ( e3 = op(op(e1,e2),e2)
& e0 = op(e1,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f199,plain,
( e2 != op(e0,e1)
| e0 != op(e3,e1) ),
inference(inner_rewriting,[],[f163]) ).
fof(f163,plain,
( e2 != op(op(e3,e1),e1)
| e0 != op(e3,e1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
( e2 != op(op(e3,e1),e1)
| e0 != op(e3,e1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
~ ( e2 = op(op(e3,e1),e1)
& e0 = op(e3,e1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f198,plain,
( e2 != op(e0,e3)
| e0 != op(e1,e3) ),
inference(inner_rewriting,[],[f162]) ).
fof(f162,plain,
( e2 != op(op(e1,e3),e3)
| e0 != op(e1,e3) ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( e2 != op(op(e1,e3),e3)
| e0 != op(e1,e3) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
~ ( e2 = op(op(e1,e3),e3)
& e0 = op(e1,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f197,plain,
( e1 != op(e0,e2)
| e0 != op(e3,e2) ),
inference(inner_rewriting,[],[f161]) ).
fof(f161,plain,
( e1 != op(op(e3,e2),e2)
| e0 != op(e3,e2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
( e1 != op(op(e3,e2),e2)
| e0 != op(e3,e2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
~ ( e1 = op(op(e3,e2),e2)
& e0 = op(e3,e2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f160,plain,
( e1 != op(op(e2,e3),e3)
| e0 != op(e2,e3) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
( e1 != op(op(e2,e3),e3)
| e0 != op(e2,e3) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
~ ( e1 = op(op(e2,e3),e3)
& e0 = op(e2,e3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f195,plain,
e0 = op(e0,e0),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122,f189,f121,f120,f119,f118,f117,f116,f115,f114,f113,f190,f112,f191,f159,f192,f158,f157,f156,f155,f154,f193,f153,f152,f151,f150,f149,f194,f148,f147,f146,f145,f144]) ).
fof(f144,plain,
( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
( ( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) )
& ( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) )
& ( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) )
& ( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) )
& ( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) )
& ( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) )
& ( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) )
& ( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) )
& ( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) )
& ( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) )
& ( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) )
& ( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) )
& ( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) )
& ( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) )
& ( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) )
& ( op(e0,e0) = e3
| op(e0,e0) = e2
| op(e0,e0) = e1
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f145,plain,
( e3 = op(e0,e1)
| e2 = op(e0,e1)
| e1 = op(e0,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f146,plain,
( e3 = op(e0,e2)
| e2 = op(e0,e2)
| e1 = op(e0,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f147,plain,
( e3 = op(e0,e3)
| e2 = op(e0,e3)
| e1 = op(e0,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f148,plain,
( e3 = op(e1,e0)
| e2 = op(e1,e0)
| e1 = op(e1,e0)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f194,plain,
e1 = op(e1,e1),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122,f189,f121,f120,f119,f118,f117,f116,f115,f114,f113,f190,f112,f191,f159,f192,f158,f157,f156,f155,f154,f193,f153,f152,f151,f150,f149]) ).
fof(f149,plain,
( e3 = op(e1,e1)
| e2 = op(e1,e1)
| e1 = op(e1,e1)
| e0 = op(e1,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f150,plain,
( e3 = op(e1,e2)
| e2 = op(e1,e2)
| e1 = op(e1,e2)
| e0 = op(e1,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f151,plain,
( e3 = op(e1,e3)
| e2 = op(e1,e3)
| e1 = op(e1,e3)
| e0 = op(e1,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f152,plain,
( e3 = op(e2,e0)
| e2 = op(e2,e0)
| e1 = op(e2,e0)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f153,plain,
( e3 = op(e2,e1)
| e2 = op(e2,e1)
| e1 = op(e2,e1)
| e0 = op(e2,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f193,plain,
e2 = op(e2,e2),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122,f189,f121,f120,f119,f118,f117,f116,f115,f114,f113,f190,f112,f191,f159,f192,f158,f157,f156,f155,f154]) ).
fof(f154,plain,
( e3 = op(e2,e2)
| e2 = op(e2,e2)
| e1 = op(e2,e2)
| e0 = op(e2,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f155,plain,
( e3 = op(e2,e3)
| e2 = op(e2,e3)
| e1 = op(e2,e3)
| e0 = op(e2,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f156,plain,
( e3 = op(e3,e0)
| e2 = op(e3,e0)
| e1 = op(e3,e0)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f1]) ).
fof(f157,plain,
( e3 = op(e3,e1)
| e2 = op(e3,e1)
| e1 = op(e3,e1)
| e0 = op(e3,e1) ),
inference(cnf_transformation,[],[f1]) ).
fof(f158,plain,
( e3 = op(e3,e2)
| e2 = op(e3,e2)
| e1 = op(e3,e2)
| e0 = op(e3,e2) ),
inference(cnf_transformation,[],[f1]) ).
fof(f192,plain,
e3 = op(e3,e3),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122,f189,f121,f120,f119,f118,f117,f116,f115,f114,f113,f190,f112,f191,f159]) ).
fof(f159,plain,
( e3 = op(e3,e3)
| e2 = op(e3,e3)
| e1 = op(e3,e3)
| e0 = op(e3,e3) ),
inference(cnf_transformation,[],[f1]) ).
fof(f191,plain,
e0 = op(e0,e0),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122,f189,f121,f120,f119,f118,f117,f116,f115,f114,f113,f190,f112]) ).
fof(f112,plain,
( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
( ( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) )
& ( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) )
& ( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) )
& ( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) )
& ( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) )
& ( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) )
& ( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) )
& ( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) )
& ( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) )
& ( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) )
& ( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) )
& ( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) )
& ( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) )
& ( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) )
& ( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) )
& ( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) )
& ( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) )
& ( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) )
& ( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) )
& ( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) )
& ( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) )
& ( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) )
& ( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) )
& ( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) )
& ( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 )
& ( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 )
& ( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 )
& ( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 )
& ( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 )
& ( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 )
& ( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) )
& ( e0 = op(e0,e3)
| e0 = op(e0,e2)
| e0 = op(e0,e1)
| e0 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f190,plain,
e0 = op(e0,e0),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122,f189,f121,f120,f119,f118,f117,f116,f115,f114,f113]) ).
fof(f113,plain,
( e0 = op(e3,e0)
| e0 = op(e2,e0)
| e0 = op(e1,e0)
| e0 = op(e0,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f114,plain,
( e1 = op(e0,e3)
| e1 = op(e0,e2)
| e1 = op(e0,e1)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f115,plain,
( e1 = op(e3,e0)
| e1 = op(e2,e0)
| e1 = op(e1,e0)
| op(e0,e0) = e1 ),
inference(cnf_transformation,[],[f2]) ).
fof(f116,plain,
( e2 = op(e0,e3)
| e2 = op(e0,e2)
| e2 = op(e0,e1)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f117,plain,
( e2 = op(e3,e0)
| e2 = op(e2,e0)
| e2 = op(e1,e0)
| op(e0,e0) = e2 ),
inference(cnf_transformation,[],[f2]) ).
fof(f118,plain,
( e3 = op(e0,e3)
| e3 = op(e0,e2)
| e3 = op(e0,e1)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f119,plain,
( e3 = op(e3,e0)
| e3 = op(e2,e0)
| e3 = op(e1,e0)
| op(e0,e0) = e3 ),
inference(cnf_transformation,[],[f2]) ).
fof(f120,plain,
( e0 = op(e1,e3)
| e0 = op(e1,e2)
| e0 = op(e1,e1)
| e0 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f121,plain,
( e0 = op(e3,e1)
| e0 = op(e2,e1)
| e0 = op(e1,e1)
| e0 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f189,plain,
e1 = op(e1,e1),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123,f188,f122]) ).
fof(f122,plain,
( e1 = op(e1,e3)
| e1 = op(e1,e2)
| e1 = op(e1,e1)
| e1 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f188,plain,
e1 = op(e1,e1),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132,f187,f131,f130,f129,f128,f127,f126,f125,f124,f123]) ).
fof(f123,plain,
( e1 = op(e3,e1)
| e1 = op(e2,e1)
| e1 = op(e1,e1)
| e1 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f124,plain,
( e2 = op(e1,e3)
| e2 = op(e1,e2)
| e2 = op(e1,e1)
| e2 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f125,plain,
( e2 = op(e3,e1)
| e2 = op(e2,e1)
| e2 = op(e1,e1)
| e2 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f126,plain,
( e3 = op(e1,e3)
| e3 = op(e1,e2)
| e3 = op(e1,e1)
| e3 = op(e1,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f127,plain,
( e3 = op(e3,e1)
| e3 = op(e2,e1)
| e3 = op(e1,e1)
| e3 = op(e0,e1) ),
inference(cnf_transformation,[],[f2]) ).
fof(f128,plain,
( e0 = op(e2,e3)
| e0 = op(e2,e2)
| e0 = op(e2,e1)
| e0 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f129,plain,
( e0 = op(e3,e2)
| e0 = op(e2,e2)
| e0 = op(e1,e2)
| e0 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f130,plain,
( e1 = op(e2,e3)
| e1 = op(e2,e2)
| e1 = op(e2,e1)
| e1 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f131,plain,
( e1 = op(e3,e2)
| e1 = op(e2,e2)
| e1 = op(e1,e2)
| e1 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f187,plain,
e2 = op(e2,e2),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133,f186,f132]) ).
fof(f132,plain,
( e2 = op(e2,e3)
| e2 = op(e2,e2)
| e2 = op(e2,e1)
| e2 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f186,plain,
e2 = op(e2,e2),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142,f185,f141,f140,f139,f138,f137,f136,f135,f134,f133]) ).
fof(f133,plain,
( e2 = op(e3,e2)
| e2 = op(e2,e2)
| e2 = op(e1,e2)
| e2 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f134,plain,
( e3 = op(e2,e3)
| e3 = op(e2,e2)
| e3 = op(e2,e1)
| e3 = op(e2,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f135,plain,
( e3 = op(e3,e2)
| e3 = op(e2,e2)
| e3 = op(e1,e2)
| e3 = op(e0,e2) ),
inference(cnf_transformation,[],[f2]) ).
fof(f136,plain,
( e0 = op(e3,e3)
| e0 = op(e3,e2)
| e0 = op(e3,e1)
| e0 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f137,plain,
( e0 = op(e3,e3)
| e0 = op(e2,e3)
| e0 = op(e1,e3)
| e0 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f138,plain,
( e1 = op(e3,e3)
| e1 = op(e3,e2)
| e1 = op(e3,e1)
| e1 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f139,plain,
( e1 = op(e3,e3)
| e1 = op(e2,e3)
| e1 = op(e1,e3)
| e1 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f140,plain,
( e2 = op(e3,e3)
| e2 = op(e3,e2)
| e2 = op(e3,e1)
| e2 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f141,plain,
( e2 = op(e3,e3)
| e2 = op(e2,e3)
| e2 = op(e1,e3)
| e2 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f185,plain,
e3 = op(e3,e3),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143,f184,f142]) ).
fof(f142,plain,
( e3 = op(e3,e3)
| e3 = op(e3,e2)
| e3 = op(e3,e1)
| e3 = op(e3,e0) ),
inference(cnf_transformation,[],[f2]) ).
fof(f184,plain,
e3 = op(e3,e3),
inference(global_subsumption,[],[f59,f58,f57,f56,f55,f54,f63,f62,f61,f60,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82,f81,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f143]) ).
fof(f143,plain,
( e3 = op(e3,e3)
| e3 = op(e2,e3)
| e3 = op(e1,e3)
| e3 = op(e0,e3) ),
inference(cnf_transformation,[],[f2]) ).
fof(f64,plain,
op(e0,e0) != op(e1,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f65,plain,
op(e0,e0) != op(e2,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f66,plain,
op(e0,e0) != op(e3,e0),
inference(cnf_transformation,[],[f3]) ).
fof(f70,plain,
op(e0,e1) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f73,plain,
op(e1,e1) != op(e2,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f74,plain,
op(e1,e1) != op(e3,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f77,plain,
op(e0,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
op(e1,e2) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
op(e2,e2) != op(e3,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
op(e0,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f86,plain,
op(e1,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f87,plain,
op(e2,e3) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f88,plain,
op(e0,e0) != op(e0,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f89,plain,
op(e0,e0) != op(e0,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f90,plain,
op(e0,e0) != op(e0,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f94,plain,
op(e1,e0) != op(e1,e1),
inference(cnf_transformation,[],[f3]) ).
fof(f97,plain,
op(e1,e1) != op(e1,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f98,plain,
op(e1,e1) != op(e1,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f101,plain,
op(e2,e0) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f103,plain,
op(e2,e1) != op(e2,e2),
inference(cnf_transformation,[],[f3]) ).
fof(f105,plain,
op(e2,e2) != op(e2,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f108,plain,
op(e3,e0) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f110,plain,
op(e3,e1) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
fof(f111,plain,
op(e3,e2) != op(e3,e3),
inference(cnf_transformation,[],[f3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ALG138+1 : TPTP v8.2.0. Released v2.7.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31 % Computer : n019.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 300
% 0.16/0.31 % DateTime : Sat May 18 23:12:08 EDT 2024
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % (28538)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.33 % (28541)WARNING: value z3 for option sas not known
% 0.16/0.33 % (28542)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33 % (28544)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.16/0.33 % (28543)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.16/0.33 % (28539)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33 % (28540)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 % (28545)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.16/0.33 % (28541)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.16/0.34 % (28541)First to succeed.
% 0.16/0.34 Detected minimum model sizes of [4]
% 0.16/0.34 Detected maximum model sizes of [max]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 Detected minimum model sizes of [4]
% 0.16/0.34 Detected maximum model sizes of [max]
% 0.16/0.34 % (28545)Also succeeded, but the first one will report.
% 0.16/0.34 % (28543)Also succeeded, but the first one will report.
% 0.16/0.34 % (28541)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-28538"
% 0.16/0.34 TRYING [4]
% 0.16/0.34 % (28541)Refutation found. Thanks to Tanya!
% 0.16/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.35 % (28541)------------------------------
% 0.16/0.35 % (28541)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.16/0.35 % (28541)Termination reason: Refutation
% 0.16/0.35
% 0.16/0.35 % (28541)Memory used [KB]: 900
% 0.16/0.35 % (28541)Time elapsed: 0.011 s
% 0.16/0.35 % (28541)Instructions burned: 20 (million)
% 0.16/0.35 % (28538)Success in time 0.029 s
%------------------------------------------------------------------------------